Lie Algebra: Representations

Related lectures (30)

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Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers angular momentum in rotations, including preservation of angles and vector products.

Covers Quantum Electrodynamics (QED), instantons, Feynman rules, and gauge theories in modern particle physics.

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers Lie Algebra, focusing on vector space and multiplication law.

Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Covers the Weil representation, Heis operators, Stone-Neumann theorem, unitary operators, Lie algebra structure, and symplectic form.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.